Toán Lớp 10: .Cho đường thẳng (d): y = (2m2 – 1)x +4m – 6. Tìm m để :
a) (d) song song với đường thẳng (Δ) : y = 4x + 1
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Toán Lớp 10: .Cho đường thẳng (d): y = (2m2 – 1)x +4m – 6. Tìm m để :
a) (d) song song với đường thẳng (Δ) : y = 4x + 1
Comments ( 1 )
\left\{ \begin{array}{l}
2{m^2} – 1 = 4\\
4m – 6 \ne 1
\end{array} \right.\\
\Leftrightarrow \left\{ \begin{array}{l}
2{m^2} = 5\\
4m \ne 7
\end{array} \right.\\
\Leftrightarrow \left\{ \begin{array}{l}
{m^2} = \dfrac{5}{2}\\
m \ne \dfrac{7}{4}
\end{array} \right.\\
\Leftrightarrow \left\{ \begin{array}{l}
\left[ \begin{array}{l}
m = \dfrac{{\sqrt {10} }}{2}\\
m = – \dfrac{{\sqrt {10} }}{2}
\end{array} \right.\\
m \ne \dfrac{7}{4}
\end{array} \right.\\
\Rightarrow \left[ \begin{array}{l}
m = \dfrac{{\sqrt {10} }}{2}\\
m = – \dfrac{{\sqrt {10} }}{2}
\end{array} \right.
\end{array}$